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ON INCONSISTENT BAYES ESTIMATES IN THE DISCRETE CASE
Probability distribution integer mixture dirichlet
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2015/7/14
Consider sampling from an unknown probability distribution on the
integers. With a tail-free prior, the posterior distribution is consistent. With
a mixture of a tail-free prior and a point mass, ...
Extreme values for two-dimensional discrete Gaussian free field
Extreme values two-dimensional discrete Gaussian free field Probability
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2012/6/15
We consider in this paper the collection of near maxima of the discrete, two dimensional Gaussian free field in a box with Dirichlet boundary conditions. We provide a rough description of the geometry...
The Fighter Problem: Optimal Allocation of a Discrete Commodity
Bomber problem continuous ammunition discrete ammunition concavity
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2011/9/20
Abstract: The Fighter problem with discrete ammunition is studied. An aircraft (fighter) equipped with $n$ anti-aircraft missiles is intercepted by enemy airplanes, the appearance of which follows a h...
Uniform moment bounds of multi-dimensional functions of discrete-time stochastic processes
stochastic stability Markov chains uniform moment bounds invariant distributions stochastic control
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2011/9/20
Abstract: We establish conditions for uniform $r$-th moment bound of certain $\R^d$-valued functions of a discrete-time stochastic process taking values in a general metric space. The conditions inclu...
Pointwise stabilization of discrete-time matrix-valued stationary Markov chains
Markovian jump linear system pointwise stabilization random products of matrices
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2011/8/22
Abstract: Let $(\Omega,\mathscr{F},\mathbb{P})$ be a probability space and $\bS=\{\mathrm{S}_1,...,\mathrm{S}_K\}$ a discrete-topological space that consists of $K$ real $d$-by-$d$ matrices, where $K$...